Multiple Views of Accuracy Rate Problem

A drug test is 95% accurate for a specific drug.
This means that it will be correct for 95% of the people tested with it and
incorrect for 5% of the people tested with it.

We saw that for a population of which 5% uses
the drug for which this test is designed, half the people who test positive
are in fact non-users. This means that if disciplinary action is taken against
anyone testing positive, 50% of those people will be disciplined when they
shouldnt.

Members of a disciplinary board decide that they
cannot use this drug test, and will look for a new test. They want no more
than 1% error in the disciplinary actions they take with persons testing positive
for this drug. How accurate must the new test be to satisfy their requirement?